deletions | additions       diff --git a/Bootstrap Sub-sampling.tex b/Bootstrap Sub-sampling.tex  index 2c59d4d..a79f15e 100644  --- a/Bootstrap Sub-sampling.tex  +++ b/Bootstrap Sub-sampling.tex 
...
SNPs had a maximum rank below 5000, whereas most of the remaining  489574 SNPs had a maximum rank above 350000 (see  Figure~\ref{fig:sig-thy-bootstrap-consistency}-B).  The bootstrap sub-sampling method was used to eliminate those markers  from the initial X chromosome filtered set of 490032 SNPs that were  not effective for genetically distinguishing case and control groups.  In each iteration of the bootstrap process, a sub-sample of  individuals from each group was carried out, then markers were ranked  based on a statistic that evaluates the effectiveness of each marker  (see Figure~\ref{fig:bootstrap-procedure}). Markers that consistently  had a high association statistic in each bootstrap sub-sample were  selected for the next stage in the process.